There are still many unanswered questions related to the problem of a capillary surface rising in a tube. One of the major questions is the evolution of the liquid meniscus shape. In this paper, a simple geometry method is proposed to solve the force balance equation on the liquid meniscus. Based on a proper model for the macroscopic dynamic contact angle, the evolution of the liquid meniscus, including the moving speed and the shape, is obtained. The wall condition of zero dynamic contact angle is allowed. The resulting slipping velocity at the contact line resolves the stress singularity successfully. Performance of the present method is examined through six well-documented capillary-rise examples. Good agreements between the predictions and the measurements are observable if a reliable model for the dynamic contact angle is available. Although only the capillary-rise problem is demonstrated in this paper, the concept of this method is equally applicable to free surface flow in the vicinity of a contact line where the capillary force dominates the flow.
Skip Nav Destination
e-mail: sllee@pme.nthu.edu.tw
Article navigation
August 2007
Technical Papers
Evolution of Liquid Meniscus Shape in a Capillary Tube
Shong-Leih Lee,
Shong-Leih Lee
Department of Power Mechanical Engineering,
e-mail: sllee@pme.nthu.edu.tw
National Tsing Hua University
, Hsinchu 30013, Taiwan
Search for other works by this author on:
Hong-Draw Lee
Hong-Draw Lee
Department of Power Mechanical Engineering,
National Tsing Hua University
, Hsinchu 30013, Taiwan
Search for other works by this author on:
Shong-Leih Lee
Department of Power Mechanical Engineering,
National Tsing Hua University
, Hsinchu 30013, Taiwane-mail: sllee@pme.nthu.edu.tw
Hong-Draw Lee
Department of Power Mechanical Engineering,
National Tsing Hua University
, Hsinchu 30013, TaiwanJ. Fluids Eng. Aug 2007, 129(8): 957-965 (9 pages)
Published Online: February 2, 2007
Article history
Received:
August 27, 2005
Revised:
February 2, 2007
Citation
Lee, S., and Lee, H. (February 2, 2007). "Evolution of Liquid Meniscus Shape in a Capillary Tube." ASME. J. Fluids Eng. August 2007; 129(8): 957–965. https://doi.org/10.1115/1.2746898
Download citation file:
Get Email Alerts
Switching Events of Wakes Shed From Two Short Flapping Side-by-Side Cylinders
J. Fluids Eng (May 2025)
Related Articles
Slip Flow in the Hydrodynamic Entrance Region of Circular and Noncircular Microchannels
J. Fluids Eng (January,2010)
Transport in Passive, High Thermal, Conductivity Heat Spreaders
J. Heat Transfer (August,2011)
Effects of Axial
Corrugated Roughness on Low Reynolds Number Slip Flow and Continuum Flow in
Microtubes
J. Heat Transfer (April,2010)
Couette Resistance Due to a Sliding Plate Over a Plate With Stripes of Nonhomogeneous Slip
J. Fluids Eng (January,2022)
Related Proceedings Papers
Related Chapters
Heat Generated in Pipe Flows Due to Friction
Everyday Heat Transfer Problems: Sensitivities to Governing Variables
Neural Network and Genetic Programming in Pressure Loss Estimation in Eccentric Pipe Flow
Intelligent Engineering Systems through Artificial Neural Networks Volume 18
Volutes
Design and Analysis of Centrifugal Compressors